BSEP Geometric Principles 4 — Questions and Answers
Question 1: What is the sum of interior angles of any triangle?
- 180° (Correct answer)
- 360°
- 90°
- 270°
Correct answer: 180°
The three interior angles of any triangle always add up to exactly 180°.
Question 2: A point, a line segment, and a ray all differ. Which one extends infinitely in both directions?
- A line (Correct answer)
- A ray
- A line segment
- A point
Correct answer: A line
A line extends infinitely in both directions, while a ray extends in only one direction and a segment has two endpoints.
Question 3: What is the area of a circle with a diameter of 6 cm? (Use π ≈ 3.14)
- 28.26 cm² (Correct answer)
- 18.84 cm²
- 113.04 cm²
- 56.52 cm²
Correct answer: 28.26 cm²
Radius = 3 cm; Area = πr² = 3.14 × 3² = 3.14 × 9 = 28.26 cm².
Question 4: Two angles are complementary. One measures 32°. What is the other?
- 58° (Correct answer)
- 148°
- 68°
- 90°
Correct answer: 58°
Complementary angles sum to 90°, so 90° − 32° = 58°.
Question 5: A cube has a side length of 5 cm. What is its volume?
- 125 cm³ (Correct answer)
- 25 cm³
- 75 cm³
- 15 cm³
Correct answer: 125 cm³
Volume of a cube = side³ = 5³ = 125 cm³.
Question 6: Which term describes the distance around the outside of any polygon?
- Perimeter (Correct answer)
- Area
- Volume
- Diameter
Correct answer: Perimeter
Perimeter is the total length of all sides around a polygon.
Question 7: An equilateral triangle has one angle that measures 70°. What are the other two angles?
- This is impossible; all angles in an equilateral triangle are 60° (Correct answer)
- 55° each
- 70° and 40°
- 110° and 0°
Correct answer: This is impossible; all angles in an equilateral triangle are 60°
An equilateral triangle has three equal angles of 60° each, so no angle can be 70°.
BSEP Geometric Principles 4
What is the sum of interior angles of any triangle?